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Least Common Multiple (LCM) of 110 and 32

The least common multiple (LCM) of 110 and 32 is 1760.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 110 and 32?

First, calculate the GCD of 110 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 110 ÷ 32 = 3 remainder 14
2 32 ÷ 14 = 2 remainder 4
3 14 ÷ 4 = 3 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 356720
131 and 101310
174 and 16328362
38 and 1102090
62 and 341054

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